1. Sketch a pulley system that will give a 2 to 1 mechanical advantage. Provide a free body diagram illustrating the key forces involved.
2. A 2 kg mass of steel is placed on a slate table that has a μS of 0.2 and a μK of 0.15. How much force must be applied horizontally to the table in order to start the mass moving? If enough mass is supplied to start the mass moving, what will it’s resulting acceleration be? How long will it take the mass to move 0.75 m?
3. A 2 kg mass of steel is placed on a steel incline table that has a μS of 0.23. How much force must be applied horizontally to the table in order to start the mass moving?
4. A 2 kg mass of steel is placed on a slate table that has a μS of 0.2. How much force must be applied at an angle of 300 to the table in order to start the mass moving? How much force must be applied at an angle of -300 to the table in order to start the mass moving?
5. Please provide a plausible explanation why μS and μK are different.
6. Provide a freebody diagram for each of the following situations. Use this free body diagram to predict what the scale will read. (pictures provided)
Transcribed Image Text:**Problem 6:**
Provide a freebody diagram for each of the following situations. Use this freebody diagram to predict what the scale will read.
**Diagram a:**
- **Description:**
- The diagram shows two masses, each labeled "m," suspended on either side of a scale.
- Each mass is connected via a pulley system.
- The pulleys are depicted as circles, and the tensions are shown as lines connecting the masses to the scale.
- **Components:**
- Two pulleys that redirect the tension forces.
- A central scale that measures the combined force exerted by the two masses.
- **Purpose:**
- To use the principles of physics to calculate the reading on the scale based on the freebody diagram created from this setup.
Transcribed Image Text:### Classic Force Problems
The image consists of two diagrams illustrating force concepts involving masses, scales, and posts. Each diagram includes labels to identify key components. Below is a detailed explanation:
#### Diagram b:
1. **Post**: A vertical rectangular object positioned on the left.
2. **Scale**: A smaller horizontal rectangle connected to the Post, indicating a force measurement device.
3. **Pulley**: A circular object, depicted as a blue circle, to the right of the Scale with a rope running over it.
4. **Mass (m)**: A blue square at the end of the rope on the right, representing a weight hanging vertically.
This setup demonstrates a typical pulley system where a mass is lifted or balanced, with the scale used to measure tension in the rope.
#### Diagram c:
1. **Post**: Similar to diagram b, a vertical rectangular object on the left.
2. **Scale**: A horizontal rectangle similar in position and function to diagram b.
3. **Pulley**: Represented by a blue circle, functioning the same as in diagram b.
4. **Mass (2m)**: A larger blue square indicating a mass of double the magnitude of "m" in diagram b, hanging vertically from the rope.
This variation illustrates how doubling the mass affects the system, introducing concepts of forces in equilibrium and tension changes in the rope.
Through these diagrams, students can explore the principles of pulleys, scales, and force interactions involving varying masses.
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